Non-normality and nonlinearity in thermoacoustic instabilities

RI Sujith, MP Juniper, PJ Schmid
2016 International Journal of Spray and Combustion Dynamics  
Analysis of thermoacoustic instabilities were dominated by modal (eigenvalue) analysis for many decades. Recent progress in nonmodal stability analysis allows us to study the problem from a different perspective, by quantitatively describing the short-term behavior of disturbances. The short term evolution has a bearing on subcritical transition to instability, known popularly as triggering instability in thermoacoustic parlance. We provide a review of the recent developments in the context of
more » ... in the context of triggering instability. A tutorial for non-modal stability analysis is provided. The applicability of the tools from non-modal stability analysis are demonstrated with the help of a simple model of a Rjike tube. The paper closes with a brief description of how to characterize bifurcations in thermoacoustic systems.
doi:10.1177/1756827716651571 fatcat:o44suyurpfbmzfp2jf2bvylwne